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arXiv · 2106.08381

An obstruction to lifting to characteristic $0$

Hélène Esnault·Vasudevan Srinivas·Jakob Stix
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Abstract

We introduce a new obstruction to lifting smooth proper varieties in characteristic $p>0$ to characteristic $0$. It is based on Grothendieck's specialization homomorphism and the resulting discrete finiteness properties of \'etale fundamental groups.

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Hélène Esnault, Vasudevan Srinivas, Jakob Stix. 2021-06-15. An obstruction to lifting to characteristic $0$. https://arxiv.org/abs/2106.08381

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